Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates

Khanh Chau Le; Hoang Giang Bui

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arXiv · 2310.19443

Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates

Khanh Chau Le·Hoang Giang Bui

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Abstract

A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation. As applications, numerical simulations are performed for circular and rectangular plates, showing complete agreement between the analytical solution and the numerical solutions based on two-dimensional theory and three-dimensional elasticity theory.

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Khanh Chau Le, Hoang Giang Bui. 2023-10-30. Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates. https://arxiv.org/abs/2310.19443

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